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1012030332012 = 22327103229170263
BaseRepresentation
bin11101011101000011011…
…01010101110001101100
310120202020010121121112100
432232201231111301230
5113040114231111022
62052530442135100
7133055024613210
oct16564155256154
93522203547470
101012030332012
11360221814447
1214417aab1490
13745847c04ab
1436da80bc940
151b4d29c91ac
hexeba1b55c6c

1012030332012 has 144 divisors (see below), whose sum is σ = 2964936432640. Its totient is φ = 285092141184.

The previous prime is 1012030332011. The next prime is 1012030332029. The reversal of 1012030332012 is 2102330302101.

1012030332012 is a `hidden beast` number, since 10 + 1 + 20 + 303 + 320 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1012030332011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5858793 + ... + 6029055.

Almost surely, 21012030332012 is an apocalyptic number.

1012030332012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012030332012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482468216320).

1012030332012 is an abundant number, since it is smaller than the sum of its proper divisors (1952906100628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012030332012 is a wasteful number, since it uses less digits than its factorization.

1012030332012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170612 (or 170607 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1012030332012 its reverse (2102330302101), we get a palindrome (3114360634113).

The spelling of 1012030332012 in words is "one trillion, twelve billion, thirty million, three hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 229 252 309 412 458 618 687 721 916 927 1236 1374 1442 1603 1854 2061 2163 2748 2884 3206 3708 4122 4326 4809 6412 6489 8244 8652 9618 12978 14427 19236 23587 25956 28854 47174 57708 70761 94348 141522 165109 170263 212283 283044 330218 340526 424566 495327 510789 660436 681052 849132 990654 1021578 1191841 1485981 1532367 1981308 2043156 2383682 2971962 3064734 3575523 4767364 5943924 6129468 7151046 10726569 14302092 17537089 21453138 35074178 38990227 42906276 52611267 70148356 77980454 105222534 116970681 122759623 155960908 157833801 210445068 233941362 245519246 272931589 315667602 350912043 368278869 467882724 491038492 545863178 631335204 701824086 736557738 818794767 1091726356 1104836607 1403648172 1473115476 1637589534 2209673214 2456384301 3275179068 4015993381 4419346428 4912768602 8031986762 9825537204 12047980143 16063973524 24095960286 28111953667 36143940429 48191920572 56223907334 72287880858 84335861001 112447814668 144575761716 168671722002 253007583003 337343444004 506015166006 1012030332012